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Finding the Third Proportional to 6,107,886 and 9,448,780.50

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Solution

The third proportional to 6,107,886 and 9,448,780.50 is: 14,617,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107,886 : 9,448,780.50 = 9,448,780.50 : x
  2. Step 2: Convert to fraction form
    6,107,886/9,448,780.50 = 9,448,780.50/x
  3. Step 3: Cross multiply
    6,107,886x = 9,448,780.50 × 9,448,780.50
  4. Step 4: Simplify right side
    6,107,886x = 89,279,452,937,180.25
  5. Step 5: Solve for x
    x = 89,279,452,937,180.25/6,107,886
  6. Step 6: Final answer
    x = 14,617,079.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.